# 1.9: Chapter 1 Review

Difficulty Level:

**At Grade**Created by: CK-12Turn In

Define the following words:

- Domain
- Range
- Solution
- Evaluate
- Substitute
- Operation
- Variable
- Algebraic expression
- Equation
- Algebraic inequality
- Function
- Independent variable

Evaluate the following expressions.

- \begin{align*}3y (7 - (z - y))\end{align*}; use \begin{align*}y = -7\end{align*} and \begin{align*}z = 2\end{align*}
- \begin{align*}\frac{m + 3n - p}{4}\end{align*}; use \begin{align*}m = 9, \ n = 7,\end{align*} and \begin{align*}p = 2\end{align*}
- \begin{align*}|p| - \left (\frac{n}{2} \right )^3\end{align*}; use \begin{align*}n = 2\end{align*} and \begin{align*}p = 3\end{align*}
- \begin{align*}|v-21|, \ v=-70\end{align*}

Choose an appropriate variable to describe the situation.

- The number of candies you can eat in a day
- The number of tomatoes a plant can grow
- The number of cats at a humane society
- The amount of snow on the ground
- The number of water skiers on a lake
- The number of geese migrating south
- The number of people at a trade show

The surface area of a sphere is found by the formula \begin{align*}A = 4 \pi r^2\end{align*}. Determine the surface area for the following radii/diameters.

- \begin{align*}radius=10 \ inches\end{align*}
- \begin{align*}radius=2.4 \ cm\end{align*}
- \begin{align*}diameter=19 \ meters\end{align*}
- \begin{align*}radius=0.98 \ mm\end{align*}
- \begin{align*}diameter=5.5 \ inches\end{align*}

Insert parentheses to make a true equation.

- \begin{align*}1 + 2 \cdot 3 + 4 = 15\end{align*}
- \begin{align*}5 \cdot 3 - 2 + 6 = 35\end{align*}
- \begin{align*}3 + 1 \cdot 7 - 2^2 \cdot 9 - 7 = 24\end{align*}
- \begin{align*}4 + 6 \cdot 2 \cdot 5 - 3 = 40\end{align*}
- \begin{align*}3^2 + 2 \cdot 7 - 4 = 33\end{align*}

Translate the following into an algebraic equation or inequality.

- Thirty-seven more than a number is 612.
- The product of \begin{align*}u\end{align*} and –7 equals 343.
- The quotient of \begin{align*}k\end{align*} and 18
- Eleven less than a number is 43.
- A number divided by –9 is –78.
- The difference between 8 and \begin{align*}h\end{align*} is 25.
- The product of 8, –2, and \begin{align*}r\end{align*}
- Four plus \begin{align*}m\end{align*} is less than or equal to 19.
- Six is less than \begin{align*}c\end{align*}.
- Forty-two less than \begin{align*}y\end{align*} is greater than 57.

Write the pattern shown in the table with words and with an algebraic equation.

- \begin{align*}&\text{Movies watched} && 0 && 1 && 2 && 3 && 4 && 5\\ &\text{Total time} && 0 && 1.5 && 3 && 4.5 && 6 && 7.5\end{align*}
- A case of donuts is sold by the half-dozen. Suppose 168 people purchase cases of donuts. How many individual donuts have been sold?
- Write an inequality to represent the situation:
*Peter’s Lawn Mowing Service charges $10 per mowing job and $35 per landscaping job. Peter earns at least $8,600 each summer.*

Check that the given number is a solution to the given equation or inequality.

- \begin{align*}t=0.9, \ 54 \le 7(9t+5)\end{align*}
- \begin{align*}f=2; \ f+2+5f = 14\end{align*}
- \begin{align*}p=-6; \ 4p-5p \le 5\end{align*}
- Logan has a cell phone service that charges $18 dollars per month and $0.05 per text message. Represent Logan’s monthly cost as a function of the number of texts he sends per month.
- An online video club charges $14.99 per month. Represent the total cost of the video club as a function of the number of months that someone has been a member.
- What is the domain and range for the following graph?
- Henry invested $5,100 in a vending machine service. Each machine pays him $128. How many machines does Henry need to install to break even?
- Is the following relation a function?

Solve the following questions using the 4-step problem-solving plan.

- Together, the Raccoons and the Pelicans won 38 games. If the Raccoons won 13 games, how many games did the Pelicans win?
- Elmville has 250 fewer people than Maplewood. Elmville has 900 people. How many people live in Maplewood?
- The cell phone Bonus Plan gives you 4 times as many minutes as the Basic Plan. The Bonus Plan gives you a total of 1200 minutes. How many minutes does the Basic Plan give?
- Margarite exercised for 24 minutes each day for a week. How many total minutes did Margarite exercise?
- The downtown theater costs $1.50 less than the mall theater. Each ticket at the downtown theater costs $8. How much do tickets at the mall theater cost?
- Mega Tape has 75 more feet of tape than everyday tape. A roll of Mega Tape has 225 feet of tape. How many feet does everyday tape have?
- In bowling DeWayne got 3.5 times as many strikes as Junior. If DeWayne got 28 strikes, how many strikes did Junior get?

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Date Created:

Feb 22, 2012
Last Modified:

Sep 07, 2016
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